Solved: Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley

Chapter 3, Problem 3.9.36

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Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley (see the figure). The point is on the floor 12 ft directly beneath and between the carts. Cart A is being pulled away from at a speed of 2 ft!s. How fast is cart B moving toward at the instant when cart A is 5 ft from ?

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